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Which Pokémon has the highest combined special base stats (Special defense, Special attack, and hp)From Generation 1 to 5? I Would also like to know which Pokemon has the best combined base attack, defense, and speed too but that's not needed. I this question is not including Forms, such as Megas, KyuW & KyuB, Primal forms of groudon and kyogre, Etc.
Thanks in advance.

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I'm pretty sure it's Kyogre, with 100/150/140 for a total of 390. The answer might differ if you count things like Megas as being part of an earlier generation.

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White Kyurem's 125 HP, 170 SpA, and 100 SpD combine for 395, which is the highest combination of any Pokemon from the first five generations. Discounting it, the highest would be Kyogre, with 100 HP, 150 SpA, and 140 SpD combining for a total of 390.

Groudon's 150 Atk, 140 Def, and 90 Spe combine for 380, and that's the largest total (from the first five generations) of those three stats combined.

These are the highest I could find from looking at raw stats and adding them manually. If there's something higher that I missed, please let me know.

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KW is completely valid as it is not a mega and is apart of gen 5. I think you should be more clear of what you’re looking for and why.
I believe I found the next highest if you're discounting KyuW. The Groudon numbers were correct, I just mistyped Attack as HP and Defense. Sorry about that, but I think everything should be correct now.
Thank you, Amethyst.
Happy to help.